1000011100200 has 288 divisors, whose sum is σ = 3614349872160. Its totient is φ = 228055027200.

The previous prime is 1000011100183. The next prime is 1000011100217. The reversal of 1000011100200 is 20011100001.

It is an interprime number because it is at equal distance from previous prime (1000011100183) and next prime (1000011100217).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12985810 + ... + 13062590.

It is an arithmetic number, because the mean of its divisors is an integer number (12549825945).

Almost surely, 2^{1000011100200} is an apocalyptic number.

1000011100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807174936080).

1000011100200 is an abundant number, since it is smaller than the sum of its proper divisors (2614338771960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000011100200 is a wasteful number, since it uses less digits than its factorization.

1000011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77257 (or 77241 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000011100200 its reverse (20011100001), we get a palindrome (1020022200201).

The spelling of 1000011100200 in words is "one trillion, eleven million, one hundred thousand, two hundred".